LCM of 280, 107, 309, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 107, 309, 154 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 280, 107, 309, 154. So, keep reading to learn more.
Given numbers are 280,107,309,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,107,309,154 is 101834040.
Find LCM of 280,107,309,154 with Prime Factorization
| 2 | 280, 107, 309, 154 |
| 7 | 140, 107, 309, 77 |
| 20, 107, 309, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 20 x 107 x 309 x 11 = 101834040
Therefore, the lowest common multiple of 280,107,309,154 is 101834040.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
280 x 107 x 309 x 154 = 1425676560
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
107 : 1, 107
309 : 1, 3, 103, 309
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,107,309,154, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
107:107
309:3x 103
154:2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 1425676560/(1x14)
LCM = 1425676560/14
LCM = 101834040
Thus, we can understand that the LCM of 280,107,309,154 is 101834040.
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FAQs on LCM of 280, 107, 309, 154
1. What is the LCM of 280, 107, 309, 154?
Answer: LCM of 280, 107, 309, 154 is 101834040.
2. How to calculate the LCM of 280, 107, 309, 154?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 280, 107, 309, 154.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.